Question

an equilateral triangle has a perimeter of $15x^{3}+33x^{5}$ feet. what is the length of each side?
$\circ$ $x^{3}$ feet
$\circ$ $5 + 11x^{2}$ feet
$\circ$ $5x^{2}+11$ feet
$\circ$ $5x^{3}+11x^{5}$ feet

Explanation:

Step1: Recall equilateral triangle property

Perimeter = 3 × side length, so side length = $\frac{\text{Perimeter}}{3}$

Step2: Substitute given perimeter

Side length = $\frac{15x^3 + 33x^5}{3}$

Step3: Distribute division to each term

$\frac{15x^3}{3} + \frac{33x^5}{3} = 5x^3 + 11x^5$

Answer:

D. $5x^3 + 11x^5$ feet